Question

To which subset of the real number system does the number LaTeX: 1.\overline{5}1. 5 ¯ belong?

Answer 1

Answer:

The subset of rational numbers

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b where ad b are integers. The number $1.\overline5$ is a number with a recurring decimal of 5 and every recurring decimal can be expressed in the form a/b where a and b are both integers therefore, every number with recurring decimal is a rational number.

In the question,  $1.\overline5$  can be written as follows;

$1.\overline5 = \dfrac{14}{9}$ or $1.\overline5 = 1\dfrac{5}{9}$.